Global Structure of Spherically Symmetric Solutions of Einstein's Equations with an Electromagnetic Field
Informatics and Automation, Mathematical physics and applications, Tome 306 (2019), pp. 16-27

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We classify all global spherically symmetric solutions of Einstein's equations with an electromagnetic field and a cosmological constant. The classification comprises 11 topologically inequivalent solutions. The spacetime is assumed to be a warped product of two surfaces. The study of global properties of solutions is carried out by the method of conformal blocks, which consists in analyzing the zeros and poles of a conformal factor contained in the spacetime metric.
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     author = {D. E. Afanasev},
     title = {Global {Structure} of {Spherically} {Symmetric} {Solutions} of {Einstein's} {Equations} with an {Electromagnetic} {Field}},
     journal = {Informatics and Automation},
     pages = {16--27},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2019_306_a1/}
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D. E. Afanasev. Global Structure of Spherically Symmetric Solutions of Einstein's Equations with an Electromagnetic Field. Informatics and Automation, Mathematical physics and applications, Tome 306 (2019), pp. 16-27. http://geodesic.mathdoc.fr/item/TRSPY_2019_306_a1/